Shimura varieties for abelian fourfolds with an automorphism of order five
Matthias Schütt (Hannover) - Seminar Algebraic Geometry (SAG)
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When |
Apr 14, 2011 from 10:30 am to 11:30 am |
Where | Hörsaal MPI Bonn (Vivatsgasse 7) |
Contact Name | sachinidis |
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I will report on joint work with Bert van Geemen concerning moduli of
principally polarised abelian fourfolds with an automorphism of order five.
This moduli problem gives rise to a compact Shimura curve and a Shimura
surface.
I will explain a new technique to exhibit explicit projective models for
them. The Shimura varieties possess a rich arithmetic and geometric
structure that will be described in detail.